Use our free GCF of Fractions Calculator tool to compute the GCF of 3284/809, 9602/7730 i.e 2/6253570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3284/809, 9602/7730.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3284/809,9602/7730
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3284/809,9602/7730, numerators are 3284,9602
Denominators are 809,7730
The GCF of 3284,9602 is 2 .
LCM of 809,7730 is 6253570.
The greatest common factor of 3284/809,9602/7730 = [GCF of 3284,9602]/[LCM of 809,7730]= 2/6253570
Therefore, the GCF of 3284/809,9602/7730 is 2/6253570.
To find the highest common factor of 3284,9602, we have to find the factors of both numbers and list the highest common factor.
The factors of 3284 are 1, 2, 4, 821, 1642, 3284
The factors of 9602 are 1, 2, 4801, 9602
The HCF of 3284,9602 is 2.
Lets's calculate GCF of 3284,9602
2 | 3284, 9602 |
1642, 4801 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3284
:1,2,4,821,1642,3284
Now, list down the factors of 9602
:1,2,4801,9602
Greatest Common Factor
We found the factors 3284,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 3284,9602 is 2.
Lets's calculate LCM of 809,7730
Given numbers has no common factors except 1. So, there LCM is their product i.e 6253570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6253570
Therefore, the GCF of Fractions 3284/809,9602/7730 is 2/6253570
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 809,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,7730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,7730) x common factors =1 x 1 = 1
LCM(809,7730) = ( 809 × 7730 ) / 1
LCM(809,7730) = 6253570 / 1
LCM(809,7730) = 6253570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3284,9602?
The HCF of 3284,9602 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3284/809, 9602/7730?
Answer: GCF of Numerators as per given numbers 3284/809, 9602/7730 is
GCF of Numerators i.e. for 3284,9602 is 2
LCM of denominators i.e. for 809,7730 is 6253570.
Thus, GCF of Fractions is 2/6253570.Finally, GCF of Fractions for 3284/809, 9602/7730 is 2/6253570.